Finding the Third Proportional to 415,547.50 and 644,706

Step by Step Solution

1. Step 1: Write the proportion equation
   415,547.50 : 644,706 = 644,706 : x
2. Step 2: Convert to fraction form
   415,547.50/644,706 = 644,706/x
3. Step 3: Cross multiply
   415,547.50x = 644,706 × 644,706
4. Step 4: Simplify right side
   415,547.50x = 415,645,826,436
5. Step 5: Solve for x
   x = 415,645,826,436/415,547.50
6. Step 6: Final answer
   x = 1,000,236.62